164128827105 has 24 divisors (see below), whose sum is σ = 284951101032. Its totient is φ = 87393487104.

The previous prime is 164128827089. The next prime is 164128827143. The reversal of 164128827105 is 501728821461.

It can be written as a sum of positive squares in 4 ways, for example, as 154853136 + 163973973969 = 12444^2 + 404937^2 .

It is not a de Polignac number, because 164128827105 - 2⁴ = 164128827089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2927914 + ... + 2983443.

It is an arithmetic number, because the mean of its divisors is an integer number (11872962543).

Almost surely, 2^164128827105 is an apocalyptic number.

164128827105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164128827105 is a deficient number, since it is larger than the sum of its proper divisors (120822273927).

164128827105 is a wasteful number, since it uses less digits than its factorization.

164128827105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5911985 (or 5911982 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 164128827105 in words is "one hundred sixty-four billion, one hundred twenty-eight million, eight hundred twenty-seven thousand, one hundred five".